Q:

at the mall buying a pair of shoes and buying a book are independent events the probability that a shopper buys shoes is 0.12 the probability that a shopper buys a book is 0.10 what is the probability that a shopper buys shoes and a book

Accepted Solution

A:
Answer: .012Step-by-step explanation:We know that when two events A and B are independent of each other , then the probability of their intersection is given by :-[tex]P(A\cap B)=P(A)\ \cdot\ P(B)[/tex]Given : The probability that a shopper buys shoes is 0.12 The probability that a shopper buys a book is 0.10Since, both the events are independent , then the probability that a shopper buys shoes and a book is given by :-[tex]0.12\times0.10=0.012[/tex]Hence, the probability that a shopper buys shoes and a book is .012 .